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REVIEW & PRACTICE for the Test

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Presentation on theme: "REVIEW & PRACTICE for the Test"— Presentation transcript:

1 REVIEW & PRACTICE for the Test

2 Volume is the number of cubic units needed to fill a space.

3 It takes 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism.
There are 3 layers of 10 cubes each. It takes 30, or 5 · 2 · 3, cubes to fill the prism. The volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm3.

4 Additional Example 1: Finding the Volume of a Rectangular Prism
Find the volume of the rectangular prism. 13 in. 11 in. 26 in. V = lwh Write the formula. V = 26 • 11 • 13 l = 26; w = 11; h = 13 V = 3,718 in3 Multiply.

5 Try This: Example 1 Find the volume of the rectangular prism. 16 in. 12 in. 29 in. V = lwh Write the formula. V = 29 • 12 • 16 l = 29; w = 12; h = 16 V = 5,568 in3 Multiply.

6 To find the volume of any prism, you can use the formula V= Bh, where B is the area of the base, and h is the prism’s height. So, to find the volume of a triangular prism, B is the area of the triangular base and h is the height of the prism.

7 Additional Example 2A: Finding the Volume of a Triangular Prism
Find the volume of each triangular prism. A. V = Bh Write the formula. V = ( • 3.9 • 1.3) • 4 1 2 __ B = • 3.9 • 1.3; h = 4. 1 2 __ V = m3 Multiply.

8 Additional Example 2B: Finding the Volume of a Triangular Prism
Find the volume of the triangular prism. B. V = Bh Write the formula. V = ( • 6.5 • 7) • 6 1 2 __ B = • 6.5 • 7; h = 6. 1 2 __ V = ft 3 Multiply.

9 Try This: Example 2A Find the volume of each triangular prism. A. 7 m 1.6 m 4.2 m V = Bh Write the formula. V = ( • 4.2 • 1.6) • 7 1 2 __ B = • 4.2 • 1.6; h = 7. 1 2 __ V = m3 Multiply.

10 Try This: Example 2B Find the volume of each triangular prism. B. 9 ft 5 ft 4.5 ft V = Bh Write the formula. V = ( • 4.5 • 9) • 5 1 2 __ B = • 4.5 • 9; h = 5. 1 2 __ V = ft3 Multiply.

11 Learn to find volumes of cylinders.

12 To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the base by the height. volume of a cylinder = area of base  height The area of the circular base is r2, so the formula is V = Bh = r2h.

13 Additional Example 1A: Finding the Volume of a Cylinder
Find the volume V of the cylinder to the nearest cubic unit. A. V = r2h Write the formula. V  3.14  42  7 Replace  with 3.14, r with 4, and h with 7. V  Multiply. The volume is about 352 ft3.

14 Additional Example 1B: Finding the Volume of a Cylinder
10 cm ÷ 2 = 5 cm Find the radius. V = r2h Write the formula. V  3.14  52  11 Replace  with 3.14, r with 5, and h with 11. V  863.5 Multiply. The volume is about 864 cm3.

15 Additional Example 1C: Finding the Volume of a Cylinder
3 __ Find the radius. r = = 7 9 3 __ Substitute 9 for h. V = r2h Write the formula. V  3.14  72  9 Replace  with 3.14, r with 7, and h with 9. V  1,384.74 Multiply. The volume is about 1,385 in3.

16 What is a Right Triangle?
The Pythagorean Theorem applies only to right triangles. A right triangle is a triangle that has a 90 degree right angle. It has two legs and a hypotenuse. The hypotenuse is the side opposite the right angle and is always the longest. The variables a + b are used for the legs and c is the variable for the hypotenuse. a c b


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